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Finding the Fourth Proportional to 24,495.38, 36,737.87 and 7,850.96

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Solution

The fourth proportional to 24,495.38, 36,737.87 and 7,850.96 is: 11,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.38 : 36,737.87 = 7,850.96 : x
  2. Step 2: Convert to fraction form
    24,495.38/36,737.87 = 7,850.96/x
  3. Step 3: Cross multiply
    24,495.38x = 36,737.87 × 7,850.96
  4. Step 4: Simplify right side
    24,495.38x = 288,427,324.91
  5. Step 5: Solve for x
    x = 288,427,324.91/24,495.38
  6. Step 6: Final answer
    x = 11,774.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.